Exact scalar quasibound states solutions of f(R) theory's static spherically symmetric black hole
Issued Date
2024-03-01
Resource Type
ISSN
22144048
Scopus ID
2-s2.0-85184906799
Journal Title
Journal of High Energy Astrophysics
Volume
41
Start Page
61
End Page
66
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of High Energy Astrophysics Vol.41 (2024) , 61-66
Suggested Citation
Senjaya D. Exact scalar quasibound states solutions of f(R) theory's static spherically symmetric black hole. Journal of High Energy Astrophysics Vol.41 (2024) , 61-66. 66. doi:10.1016/j.jheap.2024.01.004 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/97293
Title
Exact scalar quasibound states solutions of f(R) theory's static spherically symmetric black hole
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Author's Affiliation
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Abstract
Following the recent developments in black holes' quasibound states exact solutions by Senjaya (2023b,c), in this letter, we present a novel exact solution of quasibound states of a scalar around a static spherically symmetric black hole solution of f(R) theory of gravity. We start with the relativistic scalar field wave equation, i.e. the Klein-Gordon equation, isolating the radial equation and finally successfully obtain the exact radial wave solutions in terms of General Heun functions. Having the exact solutions in hand, the energy levels expression is obtained from the radial wave polynomial conditions. In the last part of this letter, the Hawking radiation is investigated via the Damour-Ruffini method and the Hawking temperature is obtained from radiation distribution function.